Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks

Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks

A mathematical model of a multiserver open queueing network in heavy traffic is developed. This model is that of a multiserver computer system network in heavy traffic. A limit theorem for the length of the queue has been presented. (original abstract)

Bibliographic Details
Main Authors: Edvinas Greičius, Saulius Minkevičius
Format: Article
Language:English
Published: Wrocław University of Science and Technology 2017-01-01
Series:Operations Research and Decisions
Online Access:http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1303
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spelling doaj-ae553ca6b8dd4de19b636d244ba217ff2020-11-24T22:15:10ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602017-01-01vol. 27no. 47184171507369Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing NetworksEdvinas Greičius0Saulius Minkevičius1Vilnius University, Vilnius, LithuaniaVilnius University, Vilnius, LithuaniaA mathematical model of a multiserver open queueing network in heavy traffic is developed. This model is that of a multiserver computer system network in heavy traffic. A limit theorem for the length of the queue has been presented. (original abstract)http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1303
collection DOAJ
language English
format Article
sources DOAJ
author Edvinas Greičius
Saulius Minkevičius
spellingShingle Edvinas Greičius
Saulius Minkevičius
Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks
Operations Research and Decisions
author_facet Edvinas Greičius
Saulius Minkevičius
author_sort Edvinas Greičius
title Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks
title_short Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks
title_full Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks
title_fullStr Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks
title_full_unstemmed Diffusion Limits for the Queue Length of Jobs in Multiserver Open Queueing Networks
title_sort diffusion limits for the queue length of jobs in multiserver open queueing networks
publisher Wrocław University of Science and Technology
series Operations Research and Decisions
issn 2081-8858
2391-6060
publishDate 2017-01-01
description A mathematical model of a multiserver open queueing network in heavy traffic is developed. This model is that of a multiserver computer system network in heavy traffic. A limit theorem for the length of the queue has been presented. (original abstract)
url http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1303
work_keys_str_mv AT edvinasgreicius diffusionlimitsforthequeuelengthofjobsinmultiserveropenqueueingnetworks
AT sauliusminkevicius diffusionlimitsforthequeuelengthofjobsinmultiserveropenqueueingnetworks
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